16 citations · 18 across the 6 of their papers we have counts for
8 papers
Biharmonic Equations
Dirk Pauly, Alberto Valli
In this note we devise and analyse well-posed variational formulations and operator theoretical methods for boundary value problems associated to the biharmonic operator. Of partic…
Relative magnetic helicity in multiply connected domains
David MacTaggart, Alberto Valli
Magnetic helicity is a conserved quantity of ideal magnetohydrodynamics (MHD) that is related to the topology of the magnetic field, and is widely studied in both laboratory and as…
A well-posed variational formulation of the Neumann boundary value problem for the biharmonic operator
Alberto Valli
In this note we devise and analyze a well-posed variational formulation of the Neumann boundary value problem associated to the biharmonic operator . An alternative formulatio…
On the proof of Taylor's conjecture in multiply connected domains
Daniel Faraco, Sauli Lindberg, David MacTaggart +1
In this Letter we extend the proof, by Faraco and Lindberg, of Taylor's conjecture in multiply connected domains to cover arbitrary vector potentials and remove the need to impose…
Magnetic helicity in multiply connected domains
David MacTaggart, Alberto Valli
Magnetic helicity is a fundamental quantity of magnetohydrodynamics that carries topological information about the magnetic field. By `topological information', we usually refer to…
A discontinuous Galerkin method for the time harmonic eddy current problem
Ana Alonso Rodríguez, Salim Meddahi, Alberto Valli
We introduce and analyze a discontinuous Galerkin method for a time-harmonic eddy current problem formulated in terms of the magnetic field. The scheme is obtained by putting toget…
Coupling DG-FEM and BEM for time harmonic eddy current problem
Ana Alonso Rodríguez, Salim Meddahi, Alberto Valli
We introduce and analyze a discontinuous Galerkin FEM/BEM method for a time-harmonic eddy current problem written in terms of the magnetic field. We use nonconforming Nédélec finit…
Simple finite element schemes for the solution of the curl-div system
Ana Alonso Rodríguez, Enrico Bertolazzi, Alberto Valli
New variational formulations are devised for the curl--div system, and the corresponding finite element approximations are shown to converge. Curl--free and divergence--free finite…